Nonlinear Neumann-Transmission Problems for Stokes and Brinkman Equations on Euclidean Lipschitz Domains

被引：45

作者：

Kohr, Mirela ^{[1
]}

Lanza de Cristoforis, Massimo ^{[2
]}

Wendland, Wolfgang L. ^{[3
]}

机构：

[1] Univ Babes Bolyai, Fac Math & Comp Sci, 1 M Kogalniceanu St, Cluj Napoca 400084, Romania

[2] Univ Padua, Dipartimento Matemat, I-35121 Padua, Italy

[3] Univ Stuttgart, Inst Angew Anal & Numer Simulat, D-70569 Stuttgart, Germany

来源：

POTENTIAL ANALYSIS | 2013年 / 38卷 / 04期

关键词：

Stokes and Brinkman operators; Lipschitz domain; Nonlinear boundary value problem; Layer potential operators; BOUNDARY-VALUE-PROBLEMS; INHOMOGENEOUS DIRICHLET PROBLEM; INTEGRAL-EQUATIONS; LAPLACES-EQUATION; ELLIPTIC-SYSTEMS; ELEMENT METHOD; C-1; DOMAINS; OPERATORS; SOBOLEV; SPACES;

D O I：

10.1007/s11118-012-9310-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to use a layer potential analysis and the Leray-Schauder degree theory to show an existence result for a nonlinear Neumann-transmission problem corresponding to the Stokes and Brinkman operators on Euclidean Lipschitz domains with boundary data in L-p spaces, Sobolev spaces, and also in Besov spaces.

引用

页码：1123 / 1171

页数：49

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